scholarly journals Kinetics and Gibbs Function Studies on Lipase-Catalyzed Production of Non-Phthalate Plasticizer

2020 ◽  
Vol 69 (7) ◽  
pp. 727-735
Author(s):  
Hadeel Hosney ◽  
Eslam G. Al-Sakkari ◽  
Ahmad Mustafa
Keyword(s):  
Gibbs Function ◽  
Phthalate Plasticizer

Virtual Work & d’Alembert’s Principle

2018 ◽  
Author(s):  
Peter Mann
Keyword(s):  
Euler Equations ◽  
Virtual Work ◽  
Lagrange Equation ◽  
Classical Mechanics ◽  
Rigid Bodies ◽  
Gibbs Function ◽  
Constraint Force ◽  
Appell Equations ◽  
Jourdain's Principle ◽  
D'alembert's Principle

This chapter discusses virtual work, returning to the Newtonian framework to derive the central Lagrange equation, using d’Alembert’s principle. It starts off with a discussion of generalised force, applied force and constraint force. Holonomic constraints and non-holonomic constraint equations are then investigated. The corresponding principles of Gauss (Gauss’s least constraint) and Jourdain are also documented and compared to d’Alembert’s approach before being generalised into the Mangeron–Deleanu principle. Kane’s equations are derived from Jourdain’s principle. The chapter closes with a detailed covering of the Gibbs–Appell equations as the most general equations in classical mechanics. Their reduction to Hamilton’s principle is examined and they are used to derive the Euler equations for rigid bodies. The chapter also discusses Hertz’s least curvature, the Gibbs function and Euler equations.

"An instructive Gibbs-function problem" revisited

1990 ◽  
Vol 67 (5) ◽  
pp. 383
Author(s):  
R. J. Tykodi
Keyword(s):  
Gibbs Function

Chemical Reactions and Gaseous Equilibrium

2003 ◽  
Vol 31 (1) ◽  
pp. 32-62
Author(s):  
J. D. Lewins
Keyword(s):  
Chemical Reactions ◽  
Chemical Equilibrium ◽  
Computer Programme ◽  
Gibbs Function ◽  
Explicit Formulae ◽  
Combustion Processes

The article gives a methodology for determining the direction of a reaction and the point where gaseous equilibrium exists, emphasising the minimum of the Gibbs function at chemical equilibrium. A new result is offered, Lewins' law on the effect of dilution and explicit formulae are given for some major reactions. The calculations involved can be readily performed with the aid of a computer programme. This approach is seen as particularly helpful for students of combustion processes who lack a chemistry background.

scholarly journals Verdampfungsgleichgewicht und thermodynamisehe Funktionen des flüssigen Systems Wasser + Essigsäure / Vapour-Liquid. Equilibrium and Thermodynamic Functions of the Liquid System Water + Acetic Acid

1973 ◽  
Vol 28 (10) ◽  
pp. 1740-1742 ◽  
Author(s):  
R. Haase ◽  
M. Pehlke ◽  
K.-H. Dücker
Keyword(s):  
Acetic Acid ◽  
Composition Dependence ◽  
Excess Enthalpy ◽  
Excess Entropy ◽  
Liquid System ◽  
Gibbs Function ◽  
Liquid Equilibrium ◽  
Molar Excess ◽  
C 30 ◽  
System Water

Vapour pressures and vapour compositions of the liquid system water + acetic acid have been measured at 25 °C, 30 °C, 35 °C, 40 °C, and 45 °C in the whole range of compositions. The dimerization of acetic acid in the vapour being taken into account, the molar excess Gibbs function ḠE is derived from the measurements. Earlier measurements of the molar excess enthalpy HE are combined with the -GE values to give the molar excess entropy SE. The “symmetry rule” (Haase, 1951) concerning the composition dependence of ḠE, -HE, and S̄E has been confirmed.

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